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Finding the Fourth Proportional to 10,942.26, 16,327.98 and 9,764.16

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Solution

The fourth proportional to 10,942.26, 16,327.98 and 9,764.16 is: 14,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.26 : 16,327.98 = 9,764.16 : x
  2. Step 2: Convert to fraction form
    10,942.26/16,327.98 = 9,764.16/x
  3. Step 3: Cross multiply
    10,942.26x = 16,327.98 × 9,764.16
  4. Step 4: Simplify right side
    10,942.26x = 159,429,009.20
  5. Step 5: Solve for x
    x = 159,429,009.20/10,942.26
  6. Step 6: Final answer
    x = 14,570.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.